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Finding the Third Proportional to 228,742 and 353,868

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Solution

The third proportional to 228,742 and 353,868 is: 547,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,742 : 353,868 = 353,868 : x
  2. Step 2: Convert to fraction form
    228,742/353,868 = 353,868/x
  3. Step 3: Cross multiply
    228,742x = 353,868 × 353,868
  4. Step 4: Simplify right side
    228,742x = 125,222,561,424
  5. Step 5: Solve for x
    x = 125,222,561,424/228,742
  6. Step 6: Final answer
    x = 547,440.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.